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Asymmetric positive solutions for a symmetric nonlinear problem in({mathbb R}^N)

✍ Scribed by Silvia Cingolani; José Luis Gámez


Publisher
Springer
Year
2000
Tongue
English
Weight
176 KB
Volume
11
Category
Article
ISSN
0944-2669

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Asymmetric solutions for symmetric probl
✍ Silvia Cingolani 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 434 KB

Existence of asymmetric positive solutions for a class of symmetric nonlinear elliptic equations in \(\mathbb{R}^{N}, N \geq 1\) has been proved by using variational arguments. In the one-dimensional case such equation is a model in Nonlinear Optics aring in the study of asymmetric guided waves in a